4.5 Article

Inequalities of the Ostrowski Type Associated with Fractional Integral Operators Containing the Mittag-Leffler Function

Journal

SYMMETRY-BASEL
Volume 14, Issue 12, Pages -

Publisher

MDPI
DOI: 10.3390/sym14122590

Keywords

Ostrowski inequality; Mittag-Leffler function; bounds; fractional integrals

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This paper investigates the application of integral operators with the Mittag-Leffler function in generalizing classical integral inequalities. By deriving Ostrowski-type inequalities for k-fractional integrals containing Mittag-Leffler functions, several new inequalities are obtained in different specific cases.
Integral operators with the Mittag-Leffler function in kernels play a very vital role in generalizing classical integral inequalities. This paper aims to derive Ostrowski-type inequalities for k-fractional integrals containing Mittag-Leffler functions. Several new inequalities can be deduced for various fractional integrals in particular cases. Applications of these inequalities are also given.

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